Explore topic-wise InterviewSolutions in Current Affairs.

This section includes 7 InterviewSolutions, each offering curated multiple-choice questions to sharpen your Current Affairs knowledge and support exam preparation. Choose a topic below to get started.

1.

a/ Divide x+3x+4 by x-1 and verify the division algorithm.

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2.

Divide x4-3x2 + 4x + 5 by-x + 1 + x2

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3.

1 Divide 44(x4- 5x3- 24x2) by 11x (x -8)

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4.

30. Divide the polynomial x4 - 9x2 + 9 bypolynomial x2 - 3x and verify the divisalgorithm.[CBSE 2

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5.

3 /the HICF and LCM of two numbers are 12 and 5040, respectively, IÉ one of theis 144 find the other number

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6.

7. 1152 cakes of soap can be packed in 8 cartons of the same size. How marpack 5040 cakes of soaps ?

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7.

by their11. Divide the sum of 65 anddifference

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answer will be 97/33

8.

4. A frequency distribution table foproduction of oranges of some farm owgiven below. Find the mean productiooraowners inges by 'assumed mean' method.(Thousand rupees) 25-3030-35135-40 40Number of farmProduction40-45 45-5020 25 15 1010owners

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9.

2. Find the radius of the circle, if chord of length 12 cm. is at adistance of 8 cm. from the centre

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10.

Divide x2-y2 + ax +ay by (x+y)

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11.

What is the degree of the remainder when we divide x +x2 - x - 3 by x2+ 6?

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12.

1.Using factor method, divide the following polynomials by a bi(i)x2 +3x + 2 by x + 1(ii)x2-7x-18byx-9

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Thanks

13.

2. Divide 4-4x + x2 by 2-х

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4- 4x + x²2² - 2×(2) × x + x²(2-x)²

So, division will be4 - 4x + x²--------------- (2-x)

(2-x)²---------- (2-x)

(2-x)

14.

divide x4 - 3x2 + 4x + 5 by x2 + x - 1

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15.

x ^12 /( x^6 X x^8)

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tnx

16.

Q11: If.10 P5040 then find the value of r.

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when we put r=410P4=10×9×8×7=5040so r=4

17.

Mohit invests a sum of 41,250 at therate of 6% per annum. what approximatecompound interest will he obtain at theend of 3 years?(A) ₹8,100(C) ₹8210(B)₹ 7,425(D) ₹7,879

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18.

4. A frequency distribution table for the production of oranges of some farm ownersis given below. Find the mean production of oranges by 'assumed mean' methoo.Production25-30 30-35 35-40 40-45 45-50(Thousand rupees)No, of farm owners2025151010

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19.

Q27. If numerator is 2 less than the denominator of a Rational number and when 1 is subtracted fromnumerator and denominator Both, them the rational number in its simplest form is what is the rationalnumber?

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20.

steps to divide 14.6÷12

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First divide the whole number part of the real number with 12 then in the quotient make a decimal point then divide 6 by 12 then proceed further as to proceed in normal division you will get the answer.

21.

Divide x2 -7x + 12 by (x -3

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x² - 7x + 12x² -3x - 4x + 12x ( x -3) - 4(x - 3)(x-4)(x-3)

So, division will bex² - 7x + 12------------------ (x-3)

(x-4)(x-3)-------------- (x-3)

x - 4

Thanx

22.

Factorize the expression and divide(x2+7x+12):(x+3)

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23.

1. () Draw a line segment of length 12 cm and divide it internally in the ratio 2:3.() Draw a line segment of length 5,8 cm and divide it intermally into the ratio 3:2

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24.

65Q11 Divide the sum of 12 and by their difterence.

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25.

Divide the sum of andby theirdifference65 121270

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26.

EXERCISE 9C1. If 9 is added to a certain number, the result is 36. Find the number.

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27.

EXERCISE 9C1 Find the mde of the ing frequency distributionMerio354525

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hit like if you find it useful

28.

Find9CQA4

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x^2 - 2x - 8 = 0x^2 - 4x + 2x - 8 = 0x(x - 4) + 2(x - 4) = 0(x + 2)(x - 4) =0x = - 2, 4

Zeros of quadratic equation are - 2, 4

Sum of zeros = - b/a = 2Product of zeros = c/a = - 8

29.

(ii31843-18, show that 3x-9c 10 0

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30.

1f4a + 5b + 9c= 36 and 7a + 9b + 17c= 66, thena+b+c=

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31.

3x2+2(x +2)+3x(2x +1)

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thank bhai

32.

(i) 3x2-2, 6x+2-0

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please like my answer if you find it useful

33.

Solve:/3X2-2+1=2x

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34.

0y + LU nl’ 008> K

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the answer is 250,080

35.

tiate the following functions w.r.t.x(x+1) (3x2 + 2) (5x2 + 2)Differentiate the f

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d/DX= x^n= nx^(n-1) HIT THE LIKE BUTTON ✔️👍

36.

0-01CJ634

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37.

न0६ LU +]०0६ पप्प ट

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38.

6.Divide 15v 12 by 3V3

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√12 =√4×3 = 2√3So, 15√12/3√3 =( 15×2√3)/(3√3) =30/3 =10

39.

3) ifa=2,b=2,c=, find the values of:a) a + 3b b) 6a-cc) 40+2b-C0 +

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2+3×1/22+3/24+3/27/2 ...

6a-c6×2-1/447/4...

4a+2b-c8+2/3-1/48+5/12101/12 is the correct answer h

40.

Exercise 9C1. What total amount will RavI get in 3 years if he invests5000 at 5% per annum, compounded annually?unt of compound

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41.

PARTNERSHIP14. A and B start a business with an agreement to share profits as percapital. A puts in * 6,000 more than B invests his capital for 3eement to share profits as per the effective investment ofmonths. Their total profit is 5,280 and A gets 3480 more thaB invests his capital for 5 months where as A for 4On 18 5,280 and A gets 480 more than B from it. Find their capitals.

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let B's share = xthen A's share = (6000+x)

(5280 - 480)/2 = 2400

A's profit = 2880B's profit = 2400

(6000+x)*4 = 2880___________ _____ x*5 2400finding the value of xx = 12000

A's capital = 12000+6000 = 18000

B's capital = 12000

42.

0.752lf a and ß are the roots of the equation x + λχ-20sum of possible values of λ is0 and 40 +5β-0, then theChoose answer:Zero24

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option C

43.

b+ca a(iv) b c+a b4abc.LU

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L.H.S.=(b+c)(ac+bc+a^2+ab)-a(ab+b^2-bc)+a(bc-ac-c^2) =abc+b^2c+a^2b+ab^2+ac^2+bc^2+a^2c+abc-a^2b-ab^2+abc+abc-a^2c-ac^2=4abc=R.H.S.Hence Proved.

44.

punuing lU The side of 6.4 m.ase and height of a triangle are in the ratio 4 : 5. If the area of triangle is 40 mm2, find its base andheight.

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please like my answer if you find it useful

45.

I. Choose the correct answer and write the letter inThe product of two negative integers isa) Positive integer b) 0The value of 6 x 24isa) 14I.c) Negitiveinlegerd) Not define2.4041d)b) 3b) 0b)-40cj3. a 0 value is7a) ac) Id) Not define4. (-5) x 0 x (-8) =c) 8d) 0a) 40

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1) the product of 2 -ve integer is positive integer.

2) 6*7/3 = 14.3) not defined4) (-5)x(0)x(-8) = 0

46.

On dividing-3x2 ++2 by a polynomial g(x), the quotient and remainder were x-2and-2x + 4, respectively. Find g(r)

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47.

4. On dividing3x+2 by a polynomial g, the quotient and remainder were x-2and -2x+4, respectively. Find g).

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Ty

48.

11. A person invests 5,000 for two years at acertain rate of interest compounded annuallyAt the end of one year, this sum amounts to5,600. Calculate.(i) the rate of interest per annum(ii) the amount at the end of the second year.

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49.

11. A person invests5,000 for two years at acertain rate of interest compounded annually.At the end of one year, this sum amounts toR5,600. Calculate(i) the rate of interest per annum.(i) the amount at the end of the second year.

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50.

18. A housing society consisting of 5500 people needs 100 l of water per person per day. The cylindrical supplytank is 7 m high and has a diameter 10 m. For how many days will the water in the tank last for the society?NCERT Exemplar]

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Radius = diameter/2= 10/2= 5m. Volume of cylinder = πr²h= (22/7)*5²*7= 550 m².One person for one day needs 100l5500 people for one day needs 550000l= 550m³.Number of days = Volume of cylinder/ Volume required by society each day= 500/500 = 1 day.

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